Which is the best estimate for the area of a square with sides equal to 4 1/8 inches?
A(6 sq in.
B(12 sq in.
C(16 sq in.
D(20 sq in.
well, 4 1/8 is about 4. What is 4^2 ?
To estimate the area of a square with sides equal to 4 1/8 inches, you can use the formula for the area of a square which is side length squared. Here's how you can calculate it step-by-step:
1. Convert the mixed number into an improper fraction:
4 1/8 = (4 * 8 + 1) / 8 = 33/8 inches
2. Square the side length:
(33/8) * (33/8) = 1089/64 square inches
3. Simplify the fraction if possible:
1089/64 cannot be simplified further.
Therefore, the best estimate for the area of a square with sides equal to 4 1/8 inches is 1089/64 square inches.
To find the best estimate for the area of a square with sides equal to 4 1/8 inches, we need to calculate the area of the square.
The area of a square is given by the formula: area = side length * side length.
In this case, the side length is 4 1/8 inches. To simplify the calculation, we need to convert the mixed number (4 1/8) into an improper fraction.
To convert a mixed number to an improper fraction, we multiply the whole number by the denominator and add the numerator. Then, we put the result over the denominator.
So, 4 1/8 can be written as (4 * 8 + 1) / 8 = 33 / 8.
Now, we can calculate the area by multiplying the side length (33/8) by itself.
(area) = (side length) * (side length) = (33/8) * (33/8) = (33 * 33) / (8 * 8) = 1089 / 64.
As a fraction, the area of the square is 1089 / 64 square inches.
To estimate this value, we can either round it to the nearest whole number or convert it into a decimal by dividing the numerator by the denominator.
The best estimate for the area of the square with sides equal to 4 1/8 inches would be either rounding the area to the nearest whole number (17 square inches) or approximating it as a decimal (approximately 17.02 square inches).